AAE352_HW_#4_version_20

# AAE352_HW_#4_version_20 - AAE352 Homework Set#4 with...

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Page 1 AAE352- Homework Set #4 with Problem 3 updates Due February 11, 2011 Problem #1 (Problem 4-1 -page 74) Problem 4-1-Figure a) Develop the 4 x 4 system stiffness matrix for the three element bar shown. b) Use the applied loads and boundary condition to develop the 3 x 3 restrained system stiffness matrix c) Find the deflections at each node due to the two applied loads d) Solve for the internal forces in each of the three rod elements e) Draw the internal forces in their correct directions for each of the three elements f) Compute the strain energy in the structure. Problem #2 A configuration has four rod elements connected to three node points shown circled. All elements have the same Young’s modulus. Node 1 is fixed (u 1 = 0). The nodes move only in the horizontal direction. Node 2 has an applied load of 1000 lb. Node 2 has only elements 2 and 4 attached to it. Node 3 has three of the four elements directly attached to it. Element 4 has one- half the cross-sectional area of the other elements. (a)

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AAE352_HW_#4_version_20 - AAE352 Homework Set#4 with...

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